%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB080+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:17:33 PM UTC 2026
% Result : Theorem 42.34s 28.14s
% Output : CNFRefutation 42.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 22 unt; 0 def)
% Number of atoms : 211 ( 14 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 242 ( 82 ~; 86 |; 64 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-3 aty)
% Number of variables : 94 ( 7 sgn 45 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_rdfsext_domain,axiom,
! [X2,X5] :
( iext(uri_rdfs_domain,X2,X5)
<=> ( ip(X2)
& ic(X5)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).
fof(premise_rdfbased_sem_rdfsext_subprop_ext,axiom,
? [X42,X43,X38,X44,X37,X45,X46,X47,X48] :
( iext(uri_rdfs_domain,uri_ex_p1,X48)
& iext(uri_rdfs_range,uri_ex_p1,X37)
& iext(uri_rdf_first,X38,uri_ex_u)
& iext(uri_rdf_rest,X38,uri_rdf_nil)
& iext(uri_rdf_first,X46,uri_ex_w)
& iext(uri_rdf_rest,X46,uri_rdf_nil)
& iext(uri_rdf_first,X43,uri_ex_w)
& iext(uri_rdf_rest,X43,uri_rdf_nil)
& iext(uri_rdfs_domain,uri_ex_p2,X44)
& iext(uri_rdfs_range,uri_ex_p2,X45)
& iext(uri_owl_oneOf,X37,X38)
& iext(uri_rdf_first,X47,uri_ex_u)
& iext(uri_rdf_rest,X47,X42)
& iext(uri_owl_oneOf,X48,X46)
& iext(uri_owl_oneOf,X45,X47)
& iext(uri_owl_oneOf,X44,X43)
& iext(uri_rdf_first,X42,uri_ex_w)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p2,uri_ex_w,uri_ex_w) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_rdfsext_subprop_ext) ).
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> X4 = X21 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [X33,X34] :
( iext(uri_rdfs_subPropertyOf,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
=> iext(X34,X4,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).
fof(conclusion_rdfbased_sem_rdfsext_subprop_ext,conjecture,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_rdfsext_subprop_ext) ).
fof(owl_rdfsext_range,axiom,
! [X2,X5] :
( iext(uri_rdfs_range,X2,X5)
<=> ( ip(X2)
& ip(X5)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).
fof(simple_iext_property,axiom,
! [X1,X2,X3] :
( iext(X2,X1,X3)
=> ip(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).
fof(c_0_7,plain,
! [X1740,X1741,X1742,X1743,X1744,X1745] :
( ( ip(X1740)
| ~ iext(uri_rdfs_domain,X1740,X1741) )
& ( ic(X1741)
| ~ iext(uri_rdfs_domain,X1740,X1741) )
& ( ~ iext(X1740,X1742,X1743)
| icext(X1741,X1742)
| ~ iext(uri_rdfs_domain,X1740,X1741) )
& ( iext(X1744,esk105_2(X1744,X1745),esk106_2(X1744,X1745))
| ~ ip(X1744)
| ~ ic(X1745)
| iext(uri_rdfs_domain,X1744,X1745) )
& ( ~ icext(X1745,esk105_2(X1744,X1745))
| ~ ip(X1744)
| ~ ic(X1745)
| iext(uri_rdfs_domain,X1744,X1745) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_domain])])])])])]) ).
fof(c_0_8,plain,
( iext(uri_rdfs_domain,uri_ex_p1,esk200_0)
& iext(uri_rdfs_range,uri_ex_p1,esk196_0)
& iext(uri_rdf_first,esk194_0,uri_ex_u)
& iext(uri_rdf_rest,esk194_0,uri_rdf_nil)
& iext(uri_rdf_first,esk198_0,uri_ex_w)
& iext(uri_rdf_rest,esk198_0,uri_rdf_nil)
& iext(uri_rdf_first,esk193_0,uri_ex_w)
& iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
& iext(uri_rdfs_domain,uri_ex_p2,esk195_0)
& iext(uri_rdfs_range,uri_ex_p2,esk197_0)
& iext(uri_owl_oneOf,esk196_0,esk194_0)
& iext(uri_rdf_first,esk199_0,uri_ex_u)
& iext(uri_rdf_rest,esk199_0,esk192_0)
& iext(uri_owl_oneOf,esk200_0,esk198_0)
& iext(uri_owl_oneOf,esk197_0,esk199_0)
& iext(uri_owl_oneOf,esk195_0,esk193_0)
& iext(uri_rdf_first,esk192_0,uri_ex_w)
& iext(uri_rdf_rest,esk192_0,uri_rdf_nil)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p2,uri_ex_w,uri_ex_w) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_rdfsext_subprop_ext])]) ).
fof(c_0_9,plain,
! [X1338,X1339,X1340,X1341,X1342] :
( ( ic(X1338)
| ~ iext(uri_owl_oneOf,X1338,X1339)
| ~ iext(uri_rdf_first,X1339,X1340)
| ~ iext(uri_rdf_rest,X1339,uri_rdf_nil) )
& ( ~ icext(X1338,X1341)
| X1341 = X1340
| ~ iext(uri_owl_oneOf,X1338,X1339)
| ~ iext(uri_rdf_first,X1339,X1340)
| ~ iext(uri_rdf_rest,X1339,uri_rdf_nil) )
& ( X1342 != X1340
| icext(X1338,X1342)
| ~ iext(uri_owl_oneOf,X1338,X1339)
| ~ iext(uri_rdf_first,X1339,X1340)
| ~ iext(uri_rdf_rest,X1339,uri_rdf_nil) )
& ( ~ icext(X1338,esk11_3(X1338,X1339,X1340))
| esk11_3(X1338,X1339,X1340) != X1340
| ~ ic(X1338)
| iext(uri_owl_oneOf,X1338,X1339)
| ~ iext(uri_rdf_first,X1339,X1340)
| ~ iext(uri_rdf_rest,X1339,uri_rdf_nil) )
& ( icext(X1338,esk11_3(X1338,X1339,X1340))
| esk11_3(X1338,X1339,X1340) = X1340
| ~ ic(X1338)
| iext(uri_owl_oneOf,X1338,X1339)
| ~ iext(uri_rdf_first,X1339,X1340)
| ~ iext(uri_rdf_rest,X1339,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])]) ).
fof(c_0_10,plain,
! [X1762,X1763,X1764,X1765,X1766,X1767] :
( ( ip(X1762)
| ~ iext(uri_rdfs_subPropertyOf,X1762,X1763) )
& ( ip(X1763)
| ~ iext(uri_rdfs_subPropertyOf,X1762,X1763) )
& ( ~ iext(X1762,X1764,X1765)
| iext(X1763,X1764,X1765)
| ~ iext(uri_rdfs_subPropertyOf,X1762,X1763) )
& ( iext(X1766,esk110_2(X1766,X1767),esk111_2(X1766,X1767))
| ~ ip(X1766)
| ~ ip(X1767)
| iext(uri_rdfs_subPropertyOf,X1766,X1767) )
& ( ~ iext(X1767,esk110_2(X1766,X1767),esk111_2(X1766,X1767))
| ~ ip(X1766)
| ~ ip(X1767)
| iext(uri_rdfs_subPropertyOf,X1766,X1767) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subpropertyof])])])])])]) ).
cnf(c_0_11,plain,
( ip(X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
iext(uri_rdfs_domain,uri_ex_p2,esk195_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
iext(uri_rdf_rest,esk198_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( iext(X1,esk110_2(X1,X2),esk111_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
ip(uri_ex_p2),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_rdfs_domain,uri_ex_p1,esk200_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_rdfsext_subprop_ext])]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk198_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk198_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
iext(uri_rdf_first,esk198_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( icext(X4,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_domain,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( iext(X1,esk110_2(X1,uri_ex_p2),esk111_2(X1,uri_ex_p2))
| iext(uri_rdfs_subPropertyOf,X1,uri_ex_p2)
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
ip(uri_ex_p1),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
iext(uri_rdf_rest,esk194_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_26,plain,
! [X1748,X1749,X1750,X1751,X1752,X1753] :
( ( ip(X1748)
| ~ iext(uri_rdfs_range,X1748,X1749) )
& ( ip(X1749)
| ~ iext(uri_rdfs_range,X1748,X1749) )
& ( ~ iext(X1748,X1750,X1751)
| icext(X1749,X1751)
| ~ iext(uri_rdfs_range,X1748,X1749) )
& ( iext(X1752,esk107_2(X1752,X1753),esk108_2(X1752,X1753))
| ~ ip(X1752)
| ~ ip(X1753)
| iext(uri_rdfs_range,X1752,X1753) )
& ( ~ icext(X1753,esk108_2(X1752,X1753))
| ~ ip(X1752)
| ~ ip(X1753)
| iext(uri_rdfs_range,X1752,X1753) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_range])])])])])]) ).
fof(c_0_27,plain,
! [X1031,X1032,X1033] :
( ~ iext(X1032,X1031,X1033)
| ip(X1032) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).
cnf(c_0_28,plain,
( X1 = uri_ex_w
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk198_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
iext(uri_owl_oneOf,esk200_0,esk198_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( icext(esk200_0,X1)
| ~ iext(uri_ex_p1,X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_31,plain,
iext(uri_ex_p1,esk110_2(uri_ex_p1,uri_ex_p2),esk111_2(uri_ex_p1,uri_ex_p2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_32,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk194_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk194_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_33,plain,
iext(uri_rdf_first,esk194_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( icext(X4,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_range,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
iext(uri_rdfs_range,uri_ex_p1,esk196_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( iext(uri_rdfs_subPropertyOf,X2,X1)
| ~ iext(X1,esk110_2(X2,X1),esk111_2(X2,X1))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( X1 = uri_ex_w
| ~ icext(esk200_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
icext(esk200_0,esk110_2(uri_ex_p1,uri_ex_p2)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
( X1 = uri_ex_u
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk194_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
iext(uri_owl_oneOf,esk196_0,esk194_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,plain,
( icext(esk196_0,X1)
| ~ iext(uri_ex_p1,X2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
( iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ iext(X2,esk110_2(X1,X2),esk111_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
esk110_2(uri_ex_p1,uri_ex_p2) = uri_ex_w,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( X1 = uri_ex_u
| ~ icext(esk196_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
icext(esk196_0,esk111_2(uri_ex_p1,uri_ex_p2)),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_47,plain,
~ iext(uri_ex_p2,uri_ex_w,esk111_2(uri_ex_p1,uri_ex_p2)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23])]),c_0_24]) ).
cnf(c_0_48,plain,
esk111_2(uri_ex_p1,uri_ex_p2) = uri_ex_u,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
iext(uri_ex_p2,uri_ex_w,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_50,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB080+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n014.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 04:13:06 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 42.34/28.14 % Version : CSE_E---1.7
% 42.34/28.14 % Problem : theBenchmark.p
% 42.34/28.14 % SZS status Theorem for theBenchmark.p
% 42.34/28.14 % SZS output start CNFRefutation
% See solution above
% 42.43/28.28 % Total time : 22.526s
%------------------------------------------------------------------------------